Significance of this kind of oscillation.

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Small-amplitude oscillations of a rubber band do not inherently indicate whether the oscillations are quick or slow, as amplitude alone does not determine frequency. The mention of small amplitude is primarily to disregard second-order or nonlinear effects. The frequency of oscillation is influenced by the mass of the hanging object and other factors in the system. To gain clarity on the oscillation characteristics, a detailed setup is necessary for further questions. Understanding these dynamics is crucial for accurate analysis of the oscillatory behavior.
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So if a rubber band is performing small-amplitude oscillations. Does this mean that it is performing quick oscillations or slow ones?
 
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You cannot tell this from the amplitude. I guess the small amplitude is mentioned to ignore second-order (/nonlinear) effects.
 
I was saying that because I thought if it meant fast then the case would be adiabatic. But I guess, I am back to where I started. Thank you!
 
So does it depend on the mass of the hanging object?
 
You'll have to show your setup if you want to ask questions about it...

If you have a mass, suspended by a rubber band, the frequency can depend on the mass, but also on other factors.
 
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